What is the 2953rd prime number?
The 2953rd prime number is 26921. The next prime is 26927 (a gap of 6) and the one before is 26903.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 2953rd one is 26921.
- 2
26921 is prime because no prime up to ā26921 ā 164.08 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2953rd prime is close to 2953 Ć ln(2953) ā 23596, and here it is 26921.
- 4
26921 has no twin: neither 26919 nor 26923 is prime.
Primes around the 2953rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2950 | 26891 | 10 |
| 2951 | 26893 | 2 |
| 2952 | 26903 | 10 |
| 2953 | 26921 | 18 |
| 2954 | 26927 | 6 |
| 2955 | 26947 | 20 |
| 2956 | 26951 | 4 |
Questions
What is the 2953rd prime number?
26921.
Which prime number is 26921?
26921 is the 2953rd prime number.
What is the sum of the first 2953 primes?
37,367,862.